✦ LIBER ✦

Finite time extinction in nonlinear diffusion equations

✍ Scribed by R Laister; A.T Peplow; R.E Beardmore

Book ID: 104349758
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 392 KB
Volume: 17
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90126-7

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✦ Synopsis

We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singular (non-Lipschitz) at zero. It is shown that solutions with compactly supported initial data become identically zero in finite time. Such extinction follows by comparison with newly constructed finite travelling waves connecting two stable equilibria. (~) 2004 Elsevier Ltd. All rights reserved.

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